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Temperature- and Turbidity-Dependent Competitive Interactions Between Invasive Freshwater Mussels

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Abstract

We develop a staged-structured population model that describes the competitive dynamics of two functionally similar, congeneric invasive species: zebra mussels and quagga mussels. The model assumes that the population survival rates are functions of temperature and turbidity, and that the two species compete for food. The stability analysis of the model yields conditions on net reproductive rates and intrinsic growth rates that lead to competitive exclusion. The model predicts quagga mussel dominance leading to potential exclusion of zebra mussels at mean water temperatures below \(20\,^\circ \hbox {C}\) and over a broad range of turbidities, and a much narrower set of conditions that favor zebra mussel dominance and potential exclusion of quagga mussels at temperatures above \(20\,^\circ \hbox {C}\) and turbidities below 35 NTU. We then construct a two-patch dispersal model to examine how the dispersal rates and the environmental factors affect competitive exclusion and coexistence.

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Acknowledgments

We are grateful for financial support from the Canadian Aquatic Invasive Species Network. H.W. gratefully acknowledges NSERC Discovery grant. M.A.L. also gratefully acknowledges a Canada Research Chair, NSERC Discovery and Accelerator grants, and a Killam Research Fellowship. We also thank two anonymous referees for valuable suggestions that improve the paper.

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Authors and Affiliations

  1. Center for Mathematical Biology, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada

    Qihua Huang, Hao Wang & Mark A. Lewis

  2. Redpath Museum and McGill School of Environment, McGill University, 859 Sherbrooke Street West, Montreal, QC, H3A OC4, Canada

    Anthony Ricciardi

  3. Department of Biological Sciences, University of Alberta, Edmonton, AB, T6G 2E9, Canada

    Mark A. Lewis

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  1. Qihua Huang
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  2. Hao Wang
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  4. Mark A. Lewis
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Correspondence to Qihua Huang.

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Huang, Q., Wang, H., Ricciardi, A. et al. Temperature- and Turbidity-Dependent Competitive Interactions Between Invasive Freshwater Mussels. Bull Math Biol 78, 353–380 (2016). https://doi.org/10.1007/s11538-016-0146-4

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  • DOI: https://doi.org/10.1007/s11538-016-0146-4

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